candit80 candit80
  • 06-09-2020
  • Mathematics
contestada

find the composition of the two functions f(g(x)) f(x)=x^2 g(x)=x-3

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xKelvin
xKelvin xKelvin
  • 06-09-2020

Answer:

See below.

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=x^2\text{ and } g(x)=x-3[/tex]

And we want to find:

[tex]f(g(x))[/tex]

So, substitute g(x) into f(x):

[tex]f(g(x))=(g(x))^2=(x-3)^2[/tex]

And we're done!

If preferred, we can expand:

[tex]f(g(x))=x^2-6x+9[/tex]

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